What is a 'Modular Multiplicative Inverse'? While studying the Collatz conjecture on my own, I learned about the existence of something called a 'modular multiplicative inverse' in congruences. To ...

Abstract: High Dynamic Range (HDR) imaging with modulo cameras involves solving a challenging inverse problem, where degradation occurs due to the modulo operation applied to the target HDR image.

A byte is an ordered sequence of eight bits. The byte is the smallest addressable unit of memory in most architectures. Even if only a single bit is required, the memory system allocates at least one ...

N=100a+b,\quad s=a+b \,. 99\mid s(100-s) \,. Using $${100\equiv 1\pmod{99}}$$, 99\mid s(1-s) \Leftrightarrow 99\mid s(s-1) \,. Since $${99=9\cdot 11}$$ and $${\gcd(s ...

This study advances the control and design of topological defect structures in nematic liquid crystals, a key step toward functional defect-based devices and methods. By extending the inverse problem ...

This module supports modular values and arithmetic. The moduli are integers (at least 2) and the values are either integers or Gaussian integers. The usual arithmetic operations may be used.

What do the integers have in common with the symmetries of a triangle? In the 19th century, mathematicians invented groups as an answer to this question. Mathematics started with numbers — clear, ...

Mathematicians love a good puzzle. Even something as abstract as multiplying matrices (two-dimensional tables of numbers) can feel like a game when you try to find the most efficient way to do it.

Note: decimals are not supported in this library. n - the argument of the function must be a plain JavaScript Number. Decimals are not supported. The number passed ...